Understanding the Basics of Division

Oct 13, 2025 by miodeya.com 140 views

Understanding the Basics of Division

Division is a fundamental operation in mathematics that involves sharing a certain quantity into equal parts or groups. It is the inverse operation of multiplication, where we find the quotient of two numbers. In this article, we will explore the step-by-step process of dividing 123.18 by 6.

Step 1: Write the Problem

To begin, we need to write the division problem in the correct format. In this case, we have 123.18 ÷ 6. We can write this as a fraction, with 123.18 as the dividend and 6 as the divisor.

Step 2: Divide the Whole Number

The first step in dividing 123.18 by 6 is to divide the whole number part, which is 123. We can do this by asking ourselves how many times 6 fits into 123. To find the answer, we can use a process of trial and error or simply divide 123 by 6.

123 ÷ 6 = 20.5

Step 3: Divide the Decimal Part

Now that we have divided the whole number part, we need to divide the decimal part, which is 0.18. To do this, we can multiply the whole number part by the divisor and then add the decimal part.

20.5 × 6 = 123
0.18 ÷ 6 = 0.03

Step 4: Combine the Quotients

Now that we have divided the whole number part and the decimal part, we can combine the two quotients to get the final answer.

20.5 + 0.03 = 20.53

Step 5: Check the Answer

To ensure that our answer is correct, we can multiply the quotient by the divisor and check if the result is equal to the dividend.

20.53 × 6 = 123.18

Step 6: Write the Final Answer

Now that we have checked our answer, we can write the final result.

Conclusion

In this article, we have explored the step-by-step process of dividing 123.18 by 6. We have broken down the problem into smaller parts, divided the whole number part and the decimal part, and combined the two quotients to get the final answer. By following these steps, you can easily divide any number by 6 and get the correct result.

Frequently Asked Questions

What is the quotient of 123.18 and 6?
How do I divide 123.18 by 6?
What is the step-by-step process of dividing 123.18 by 6?

Answer

The quotient of 123.18 and 6 is 20.53. To divide 123.18 by 6, you can follow the steps outlined in this article. The step-by-step process of dividing 123.18 by 6 involves dividing the whole number part and the decimal part, combining the two quotients, and checking the answer.

References

[1] Khan Academy. (n.d.). Division of decimals. Retrieved from https://www.khanacademy.org/math/arithmetics/decimals/decimals/v/division-of-decimals
[2] Math Open Reference. (n.d.). Division of fractions. Retrieved from https://www.mathopenref.com/divisionoffractions.html
[3] Purplemath. (n.d.). Multiplication of decimals. Retrieved from https://www.purplemath.com/modules/multdec.htm
[4] Purplemath. (n.d.). Multiplication of fractions. Retrieved from https://www.purplemath.com/modules/multfrac.htm
123.18 ÷ 6: A Step-by-Step Guide to Division =====================================================

Q&A: Division of 123.18 by 6

Q: What is the quotient of 123.18 and 6?

A: The quotient of 123.18 and 6 is 20.53.

Q: How do I divide 123.18 by 6?

A: To divide 123.18 by 6, you can follow the steps outlined in this article. The step-by-step process involves dividing the whole number part and the decimal part, combining the two quotients, and checking the answer.

Q: What is the step-by-step process of dividing 123.18 by 6?

A: The step-by-step process of dividing 123.18 by 6 involves:

Writing the problem in the correct format
Dividing the whole number part
Dividing the decimal part
Combining the two quotients
Checking the answer

Q: Why do I need to divide the whole number part and the decimal part separately?

A: You need to divide the whole number part and the decimal part separately because they are different types of numbers. The whole number part is a whole number, while the decimal part is a decimal number. Dividing them separately ensures that you get the correct result.

Q: How do I check the answer to make sure it is correct?

A: To check the answer, you can multiply the quotient by the divisor and check if the result is equal to the dividend. In this case, you can multiply 20.53 by 6 and check if the result is equal to 123.18.

Q: What if I get a different answer when I multiply the quotient by the divisor?

A: If you get a different answer when you multiply the quotient by the divisor, it means that your answer is incorrect. You need to recheck your work and make sure that you followed the correct steps.

Q: Can I use a calculator to divide 123.18 by 6?

A: Yes, you can use a calculator to divide 123.18 by 6. However, it's always a good idea to check your answer by multiplying the quotient by the divisor to make sure it is correct.

Q: What if I need to divide a larger number by 6?

A: If you need to divide a larger number by 6, you can follow the same steps outlined in this article. However, you may need to use a calculator or a computer to help you with the calculation.

Q: Can I divide a negative number by 6?

A: Yes, you can divide a negative number by 6. However, you need to follow the same steps outlined in this article, and make sure to handle the negative sign correctly.

Q: What if I get a decimal result when I divide a whole number by 6?

A: If you get a decimal result when you divide a whole number by 6, it means that the result is not a whole number. You can round the result to the nearest whole number or keep it as a decimal.

Q: Can I divide a fraction by 6?

A: Yes, you can divide a fraction by 6. However, you need to follow the same steps outlined in this article, and make sure to handle the fraction correctly.

Q: What if I need to divide a mixed number by 6?

A: If you need to divide a mixed number by 6, you can follow the same steps outlined in this article. However, you need to convert the mixed number to an improper fraction first.

Conclusion

In this article, we have answered some of the most frequently asked questions about dividing 123.18 by 6. We have covered topics such as the quotient, the step-by-step process, checking the answer, and handling different types of numbers. By following the steps outlined in this article, you can easily divide 123.18 by 6 and get the correct result.